Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs

DURNA, NUH; ÖZDEMİR, ÖMER

doi:10.17776/csj.1209529

Spectral Decompositions of the Difference Operator Δ^m over the Sequence Space cs

DURNA N., ÖZDEMİR Ö.

CUMHURIYET SCIENCE JOURNAL, cilt.44, sa.1, ss.181-187, 2023 (Hakemli Dergi)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 44 Sayı: 1
Basım Tarihi: 2023
Doi Numarası: 10.17776/csj.1209529
Dergi Adı: CUMHURIYET SCIENCE JOURNAL
Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.181-187
Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

This study aims to bring together some studies on the spectra of difference operators in the literature over the cs sequence space and to provide a basis for related problems. So far, the problem has been solved up to a maximum of 2 orders on the sequence space cs. In this article, we discuss the difference operator Δ 𝑚, represented by a (m+1) banded matrix, which generalizes the difference operators of the form Δ, Δ 2 , B(r,s) and B(r,s,t) and we will give its boundedness, spectrum, fine spectrum and some spectral separations over the sequence space cs.